101164024 has 32 divisors (see below), whose sum is σ = 206317440. Its totient is φ = 46224000.

The previous prime is 101163967. The next prime is 101164039. The reversal of 101164024 is 420461101.

It is a junction number, because it is equal to n+sod(n) for n = 101163992 and 101164010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5689 + ... + 15319.

It is an arithmetic number, because the mean of its divisors is an integer number (6447420).

Almost surely, 2^101164024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101164024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103158720).

101164024 is an abundant number, since it is smaller than the sum of its proper divisors (105153416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101164024 is a wasteful number, since it uses less digits than its factorization.

101164024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9751 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101164024 is about 10058.0328096502. The cubic root of 101164024 is about 465.9529138816.

The spelling of 101164024 in words is "one hundred one million, one hundred sixty-four thousand, twenty-four".